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Tilting Cotorsion Pairs
Author(s) -
Bazzoni Silvana,
Eklof Paul C.,
Trlifaj Jan
Publication year - 2005
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609305004728
Subject(s) - mathematics , mathematics subject classification , countable set , type (biology) , domain (mathematical analysis) , pure mathematics , ring (chemistry) , subject (documents) , combinatorics , discrete mathematics , mathematical analysis , computer science , ecology , chemistry , organic chemistry , library science , biology
Let R be a ring and T a 1‐tilting right R ‐module. Then T is of countable type. Moreover, T is of finite type in the case where R is a Prüfer domain. 2000 Mathematics Subject Classification 16D90, 16D30, 13G05 (primary), 03E75, 20K40, 16G99 (secondary).